Circulant matrices and Galois-Togliatti systems
Commutative Algebra
2018-08-28 v1 Algebraic Geometry
Combinatorics
Abstract
The goal of this article is to compare the coefficients in the expansion of the permanent with those in the expansion of the determinant of a three-lines circulant matrix. As an application we prove a conjecture concerning the minimality of Galois-Togliatti systems.
Cite
@article{arxiv.1808.08387,
title = {Circulant matrices and Galois-Togliatti systems},
author = {Pietro De Poi and Emilia Mezzetti and Mateusz Michałek and Rosa Maria Miró-Roig and Eran Nevo},
journal= {arXiv preprint arXiv:1808.08387},
year = {2018}
}